5288405850 has 432 divisors, whose sum is σ = 18755362080. Its totient is φ = 1055980800.

The previous prime is 5288405833. The next prime is 5288405873. The reversal of 5288405850 is 585048825.

5288405850 is a `hidden beast` number, since 5 + 28 + 8 + 40 + 585 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5288405796 and 5288405805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5445865 + ... + 5446835.

It is an arithmetic number, because the mean of its divisors is an integer number (43415190).

Almost surely, 2^5288405850 is an apocalyptic number.

5288405850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5288405850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377681040).

5288405850 is an abundant number, since it is smaller than the sum of its proper divisors (13466956230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5288405850 is a wasteful number, since it uses less digits than its factorization.

5288405850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 5288405850 is about 72721.4263473978. The cubic root of 5288405850 is about 1742.2411173575.

The spelling of 5288405850 in words is "five billion, two hundred eighty-eight million, four hundred five thousand, eight hundred fifty".